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If G is the centroid of a triangle A B C...

If `G` is the centroid of a triangle `A B C ,` prove that ` vec G A+ vec G B+ vec G C= vec0dot`

A

0

B

3 GA

C

3 GB

D

3 GC

Text Solution

Verified by Experts

The correct Answer is:
A
We have, GB + GC = ( 1 + 1) GD GB + GC = 2GD, where , D is the mid-point of BC. Now, GA + GC = GA + 2GD G divides AD in the AD in the ratio 2 : 1 2 GD = - GA GA + GB + GC = GA - GA = 0
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-VECTORS -( MHT CET Corner)
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